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Finding the Fourth Proportional to 255,633.20, 383,161.80 and 122,577.20

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Solution

The fourth proportional to 255,633.20, 383,161.80 and 122,577.20 is: 183,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,633.20 : 383,161.80 = 122,577.20 : x
  2. Step 2: Convert to fraction form
    255,633.20/383,161.80 = 122,577.20/x
  3. Step 3: Cross multiply
    255,633.20x = 383,161.80 × 122,577.20
  4. Step 4: Simplify right side
    255,633.20x = 46,966,900,590.96
  5. Step 5: Solve for x
    x = 46,966,900,590.96/255,633.20
  6. Step 6: Final answer
    x = 183,727.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.